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please find a five-point geometry for which euclidean parallel postulate FAILS, elliptic parellel postulate FAILS and...

please find a five-point geometry for which euclidean parallel postulate FAILS, elliptic parellel postulate FAILS and hyperbolic parallel postulate FAILS.

thanks in advanced

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Answer #1

1) A straight line segment may be drawn from any point to another

2) A straight line can be extended to any length

3) A circle may be described with any given point as its center and any distance as its radius.

4) all right angles are congruent

5) if a straight line intersects 2 other straight line so makes the 2 interior angles on one side of it together less than 2 right angles ,then the other straight lines will meet at a point if extended far enough on the side on which the angles are less than 2 right angles.

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